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Let f: R to R be a continous function. ...

Let `f: R to R` be a continous function.
Let `theta_(n) = pi int_(1//n)^(n) f(x + 1/x) (log x)/x dx, n =1,2`,…….. Then `cos^(-1) [sum_(k=1)^(22) 1/k sin theta_(k)]`=…………………

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